To calculate the product of 30.51 and 0.29, we perform the multiplication operation.
Calculation Process
The calculation involves multiplying the two numbers: 30.51 and 0.29. This can be done using a calculator or by hand.
Step-by-Step Calculation
First, we multiply the numbers as if they were whole numbers, ignoring the decimal points for the moment: 3051 * 29 = 88479.
Next, we determine the total number of decimal places in the two original numbers. 30.51 has 2 decimal places, and 0.29 has 2 decimal places. The total is 4 decimal places.
Finally, we place the decimal point in our result, 88479, so that it has the correct number of decimal places. With 4 decimal places in total from the original numbers, the result is 8.8479.
| Operation | Result |
|---|---|
| Multiplication of 30.51 and 0.29 | 8.8479 |
Verification and Applications
The result of the multiplication, 8.8479, can be verified using a calculator or by performing the operation manually, as demonstrated. This calculation has practical applications in various fields, including finance, science, and engineering, where decimal arithmetic is common.
Real-World Example
In a financial context, if an investment yields 0.29% interest and the principal amount is 30.51, the interest earned would be 8.8479. This demonstrates how such a calculation can be applied to real-world scenarios.
Understanding how to accurately perform decimal multiplication is crucial for making informed decisions in these fields, where small discrepancies can have significant effects.
What is the importance of correctly placing the decimal point in multiplication results?
+Correctly placing the decimal point is crucial for the accuracy of the result. An incorrect placement can lead to significant errors, affecting the validity and reliability of subsequent calculations or decisions based on that result.
How does the number of decimal places in the factors affect the product?
+The total number of decimal places in the factors determines the number of decimal places in the product. This is found by adding the number of decimal places in each factor. For example, multiplying a number with 2 decimal places by a number with 3 decimal places results in a product with 5 decimal places.
